Temperature sending unit problem.

I haven’t noticed the fuel gauge being slower than usual.

How about its accuracy? Does it accuratel show you 1/4 tank, 1/2 tank, 3/4 tank, and a full tank? Even though the question is about the fuel gauge, this is important to diagnose the problem you're having with the temp gauge.

I’ve already bought two senders

Which ones, exactly? Brand and part number.

would the kind of resistance curve be in the manual?

Unfortunately not. The manufacturer's publication says 15–19 ohms at 220°F, which doesn't help much. I've pinged my engineering guy at SMP and I hope to hear back from him next week.