It is really a matter of personal preference, so this is totally up to you. This forum is stacked with watch nerds (self included) who obsess about authenticity and originality. Back in the day, repainting was extremely common, as was polishing when watches were sent in for service. Most owners used them to tell the time and did not give a rat's ass about patina, or originality. If the watch was damaged by smoke, or moisture, the shop sent the dial out for refinishing and the owner was happy to receive a watch that looked like new again.
If you are buying this watch to keep for the long haul, buy whatever suits your fancy. A redial is fine, if it looks nice to you, but I suggest you get one with a common movement that is easy to service with parts available. If you are looking to sell it sometime down the road, a redial will be very hard to sell to the watch collecting community, a bad redial - virtually impossible.
I have bought 4 of Derek's watches (watches to buy) over the past decade and I have had no issues with any of them. His watches are all sold as serviced and I think he does a decent job. You pay full dealer price - he doesn't negotiate but this is how he makes his living.
Of the 2 that you have shown, the Tudor is quite nice and the black waffle dial is appealing to me. It looks all original. The movement is a better, more modern choice than the bumper you were looking at on Chrono24. I only have 2 cautions. The 33mm size is a bit small for some people, so you may want to try one on your wrist. My wrist is 6 & 3/4 inches and 33-35mm is my favorite size but most people gravitate to larger watches in the 39-43 mm range. I'll post a few photos below to give you a sense bit without trying some watches on yourself, it will be hard for you to be certain.
The second caution is the dial which may look better in real life, the same, or a bit worse. White, champagne, and sunburst dials tend to show every blemish and often look better in person, to the naked eye. Black dials are a bit more fickle and the waffle dial, even more so. I really like patina but again - not everyone does. Too bad you missed out on the black, textured Tissot that just sold on the private sales section as it was a bargain.
33mm
33mm
42mm