Learn English – Is the expression “in seek of” acceptable

In common usage, infrastructure often is used unqualified to refer to good physical conditions in a community (as, for example, "Our town has the infrastructure to support your robot factory!"), although it implies little or nothing about tax, economic, and labor conditions. Of course one can also say "Their infrastructure is awful!"; that is, "good" is not an inherent quality of infrastructure.

Note, infrastructure is "The basic facilities, services and installations needed for the functioning of a community or society."

Regarding linguee.com, their "About" page clearly says, "there is no other technology anywhere else in the world that compares with Linguee", so obviously you should keep using it. :) They also assert that the translations they provide (which, if I understand correctly, are in this case English to German) are human-made (or at least human-moderated). In comparing the English and German, it seems that the connotation you suggested for the German word (i.e. "conditions necessary for a business idea to work out") do not hold up in these translations; for example, "worst imaginable conditions" going to "denkbar schlechten Rahmenbedingungen".

Perhaps...

Role playing games offer a multi-faceted experience.

I think facet is a good word here; as it describes one aspect (of many) of a thing, it maintains the singularity of the experience.

EDIT: In reading a recent article by Alan Jacobs, a literature professor, about the cumulative impact literature can have on a person, I came across an expression that may be useful in this context. Here is the passage:

I’ll repeat here, with some emendations, something that I wrote to a friend last night. For most people literature has limited power to do character-shaping because of the limited range of ways it involves the person. (There are of course exceptions to this rule — I think of William Cobbett, for instance, whose whole life was, according to his own account, altered by reading Jonathan Swift. But even then I can’t help thinking that that could only happen because a whole range of complex experiences had prepared him to receive precisely what Swift had to say.)

Various forms of ritual enactment — Yoni Appelbaum is working on some of these matters in his dissertation-in-progress, and I put the point this way after corresponding with him — seem to me to have much greater power because (a) they engage our sensorium more completely and (b) they benefit from repetition.

Kinda wordy and high brow, but it seems that the expression is being used to express the variety of ways in which an experience reaches us.