@GeorgK,
Unfortunately, points at equidistance in 3D spline may not achievable one.
I found a alternative approach to calculate points along 3D spline. This approach is triggered by below screencast video link.
https://knowledge.autodesk.com/support/inventor-products/learn-explore/caas/screencast/Main/Details/...
In this approach, a workpoint will be created at start point of 3D spline. Then, work point is pattern through RectanglarPatternFeature at desired numbers (In this example, 50 is number) as shown below.

Sub Calculate_Points()
Dim oDoc As PartDocument
Set oDoc = ThisApplication.ActiveDocument
Dim oDef As PartComponentDefinition
Set oDef = oDoc.ComponentDefinition
Dim oPt As WorkPoint
Dim cnt As Integer
cnt = oDef.WorkPoints.Count
Dim i As Integer
For i = 2 To cnt 'As first workpoint would be origin of Document, from 2nd point is considered.
Set oPt = oDef.WorkPoints.Item(i)
Debug.Print ("X : " & oPt.Point.X & " Y : " & oPt.Point.Y & " Z : " & oPt.Point.Z)
Next
End Sub
Using VBA code, points along 3D spline can be evaluated. Result for attached part(3D Spline_part.ipt) is as below.
X : -2.46898259348225 Y : -1.40508689238043 Z : 0
X : -2.71050315324226 Y : -1.19618511793428 Z : 0.158557339645586
X : -2.94644675335194 Y : -0.975929846994496 Z : 0.310163146331132
X : -3.17392306599431 Y : -0.741029563399514 Z : 0.452245501532895
X : -3.38767887017583 Y : -0.486270063951254 Z : 0.580398620041887
X : -3.57650506158435 Y : -0.203160125884033 Z : 0.685896478424769
X : -3.71152825164767 Y : 0.119366086561862 Z : 0.74840442076525
X : -3.72270096159725 Y : 0.47017234345809 Z : 0.725473894196636
X : -3.56550586596302 Y : 0.761850601996243 Z : 0.605203256622316
X : -3.31626580647378 Y : 0.959609873232407 Z : 0.446556299186176
X : -3.03066689632245 Y : 1.09601841698217 Z : 0.283033052878371
X : -2.72709280008959 Y : 1.19459504535069 Z : 0.12429834151262
X : -2.41213654829953 Y : 1.26773749409372 Z : -0.026114161886064
X : -2.08881016979362 Y : 1.32235286918349 Z : -0.166083225166605
X : -1.75851265397028 Y : 1.36265780204705 Z : -0.29385260221132
X : -1.42192442726761 Y : 1.39136656261154 Z : -0.407533804189369
X : -1.0795059513938 Y : 1.41027768644489 Z : -0.504805210151995
X : -0.7317441584476 Y : 1.42059620920782 Z : -0.582706127256179
X : -0.379378389313913 Y : 1.42311052987894 Z : -0.637420016254555
X : -2.37621625549078E-02 Y : 1.4182919848087 Z : -0.66403601938784
X : 0.332187328054961 Y : 1.40637688064561 Z : -0.656421602013299
X : 0.684703345605513 Y : 1.38736963799945 Z : -0.607352670438247
X : 1.02627509628939 Y : 1.36117888105942 Z : -0.509546355019176
X : 1.34685019987767 Y : 1.32765773391351 Z : -0.358115067101314
X : 1.6361187650665 Y : 1.28647637537227 Z : -0.153431258415742
X : 1.88541615199245 Y : 1.23710192643129 Z : 9.53280399010263E-02
X : 2.09612020917794 Y : 1.17705773811351 Z : 0.37632131899589
X : 2.27610133194124 Y : 1.10081750484712 Z : 0.674410254835628
X : 2.44242741453148 Y : 0.995375094723439 Z : 0.97141720432737
X : 2.62195803290582 Y : 0.832276951837899 Z : 1.23070140006612
X : 2.83915708748131 Y : 0.579155258830164 Z : 1.32915824372238
X : 3.03621259386137 Y : 0.325145357235721 Z : 1.18497892506639
X : 3.18945916977914 Y : 0.12326921999316 Z : 0.933394249771263
X : 3.31262582500243 Y : -3.95504397012549E-02 Z : 0.642847511898662
X : 3.4147085351109 Y : -0.175145207189773 Z : 0.330061388726886
X : 3.49835536126774 Y : -0.287909358819233 Z : 1.81472224989898E-03
X : 3.56312039385875 Y : -0.378531894215993 Z : -0.336845200000238
X : 3.60704708302688 Y : -0.446145673891437 Z : -0.683941953365482
X : 3.6258372641962 Y : -0.48748969281402 Z : -1.03753711156675
X : 3.6120221057882 Y : -0.496212743055283 Z : -1.39351869335621
X : 3.55366094164134 Y : -0.461837617967627 Z : -1.74415467383304
X : 3.43626599016305 Y : -0.371225499830548 Z : -2.06660166837566
X : 3.25145928068042 Y : -0.216874171729289 Z : -2.32714905188019
X : 3.01441426386791 Y : -1.27330027740926E-02 Z : -2.49522097465731
X : 2.7528944630157 Y : 0.215329383311388 Z : -2.57391668858989
X : 2.48502903555953 Y : 0.450108931456778 Z : -2.58552105070323
X : 2.21837392400982 Y : 0.684246521821899 Z : -2.55018730801869
X : 1.95584119578995 Y : 0.914827259367977 Z : -2.48173851663527
X : 1.69702536728794 Y : 1.14203403106343 Z : -2.38874732893089
X : 1.44294865358406 Y : 1.36488564150061 Z : -2.27743729393491
Thanks and regards,
CHANDRA SHEKAR G
Developer Advocate
Autodesk Developer Network