(I work at Linkup.) We do both: search returns raw results, no summaries, and there's a separate fetch endpoint that returns the full page as markdown, with optional JS rendering. You should compare us against your Perplexity setup - you might some value in switching
Put in the todo list to check out. If you cut web search costs even further for flash/fast search (similar to Perplexity, which is $1 per 1000 for fast search) would make it more competitive (at least for my app!)
