Come to Texas any time and I will gladly show you both, and I have old sails and a not particularly fresh coat of bottom paint.
You can also look at people who actually use them for cruising. For example (from sv Luckness blog: s/v Luckness: Numbers on my first year cruising
(RE two passages: CA to Hawaii and then Hawaii to Neah Bay WA)
"my fastest day heading to Hawaii was 6.7 knots, average 5.5. Fastest day heading to Neah Bay was 7.1, average 5.7. The hull speed of a PSC 37 is 7.2 knots, so having an average of 7.1 is pretty speedy, that was a fast day! I was very happy with the way Luckness performed on all of the passages and while coastal cruising. She moves well in light air and handles stronger winds and swell gracefully. Some of my favorite sailing times were while I was marveling at how I was moving along slowly in very light wind."
This is a single hander, on >2000 mile passage, who admits he does not push his boat very hard. He has days averaging near hull speed. And averages 5.7 knots on a 20+ day passage. With many light wind days.
Your PHRF link makes my point exactly: Pacific Seacraft 34 is 195, Catalina 310 (closes Catalina LWL to PSC 34) is 177. That is 18 seconds a mile, and the Catalina has a longer water line.
I will say again, I love the Catalina. If I was in the OPs position, I would buy a Catalina, not a PSC. It is for sure a lot more boat for the money.
However to propagate the myth that boat that are 25% heavier (Catalina 310 10,300 vs PSC 34 13,000) than a catalina are "NOTORIOUSLY slow and poor performers" is the same kind of BS that "if you cross and ocean in a Catalina you will die" is. Neither are at all helpful to people trying to understand the tradeoffs in analyzing different boats.
Is the Pacific Seacraft slower in average NE conditions than a similar LWL Catalina? Yes! How much slower? About 18 seconds a mile! In other words if you go for a typical 3-4 hour afternoon sail of 20 miles in average conditions, the Catalina 310 will normally get back to the dock 6 minutes before the PSC.
This is a far cry from the you image you project of the poor PSC wallowing at one knot headway in the bay for hours on end. Equally as far as the image others project of the Catalina dropping pieces like a leper on the passage to Europe. Both are just plain false, and not particularly helpful to people who come here looking for help in understanding the tradeoffs in different boats.