Why the friction exists
Nobody owns Solitaire. That means anyone can publish a version, and hundreds have — all competing for the same enormous pile of searches. When a term is that valuable and the product is that commoditised, the winning strategy stops being "make a better Solitaire" and becomes "extract more per visitor".
Hence the three common asks. Ads monetise your attention directly. Accounts turn an anonymous visit into an email address and a cross-device profile. App installs move you somewhere with better retention and push notifications. None of the three make the card game better — Solitaire needs no account to remember your best time, and it's small enough to run in a page without downloading anything.