Intel as a company isn't going anywhere any time soon; they're just too big, with too many resources, not to do at least OK.

They have serious challenges in their approach and performance to engineering, but short of merging with someone else they'll find their niche. For as long as x86-derived architectures remain current (i.e. if AMD is still chugging along with them) they'll continue to put out their own chips, and occasionally they'll manage to get an edge.

The real question would be what happens if x86 finally ceases to be viable. In theory there's nothing stopping Intel (or AMD) pivoting to ARM or RISC-V (or fucking POWER for that matter) if that's where the market goes. Losing the patent/licensing edge would sting, though.