Using the following steps:
(I have checked this similar post, which does not solve my problem.)
I use the following regex as first rule with Ionics Isapi Rewriter for web sites running on ASP.NET 4 on IIS 6 to remedy the problems caused by the breaking change introduced with ASP.NET 4 :
RewriteRule ^(.*)/eurl.axd/[a-f0-9]{32}(.*)$ $1$2
This let me again use extensionless urls.
Note that the second group captures the querystring if present and restitutes it to the rewritten url.
And yes, it's a feature, not a bug.