Right now (in 2023) as an end-user, you really can`t go wrong with either of them. They both offer fantastic performance (7000 series vs 13th gen). One platform is slightly better in one usage scenario, the other is slightly better in another. And with the major price cuts 7000 series has been seeing these past few months, they are both price competitive as well.
My experience with a lot of computers and a lot of tinkering over the decades is the Intel CPUs (or more likely, the motherboards they go on) are just less finnicky and the drivers are more mature. The worst I've ever seen with an intel is thermal throttling due to the OEM not doing enough cooling, and that wasn't intel's fault, and doesn't do permanent damage (and isn't even noticed by most people). Have not run into any motherboards or CPUs burning out like AMD seems to have every few years (happening right now even).
Obviously its just my bias from those past experiences, and things change over time, but systems with intel just seem more mature and stable, and the correct drivers for everything are easy to find and install.
My last AMD was a "586" back in like 95 or 96 (actually that one was fine from what I recall), but I've worked on plenty of desktops and laptops with them since then, just always got frustrated dealing with it.
Like I said I think it is more the fact that motherboards and chipsets supporting intel are just more common and more mature. Probably not really an issue with the processors themselves. Both have squeezed amazing power into a tiny chip.
Similar to how I'll never recommend an HP laptop (not the home ones anyway, even the business ones are kinda shoddy). Maybe they've gotten better, but I've fixed so many that developed bad solder joints on the motherboard (have reflowed several mobos in the oven) and other crappy design related problems, like a heat sink that doesn't even make contact with the GPU, wrong thickness thermal pad was used on several I saw. After a few class action lawsuits, it is time to just give up on a company.
I reflowed one in the oven and replaced the silicon thermal pads with copper shims and Arctic silver, it ran for years and they said it was faster than when new (not surprising, as thermal throttling was no longer kicking in constantly).
HP's official fix was to release a BIOS update so the fan ran non stop. If the heatsink isn't even touching the chip, that isn't going to fix it guys.
Of course I lean toward reliability and stability over the absolute highest speed and power. For gamers and overclockers it may be worth the hassle, right now they're neck and neck but other times AMD lets you squeeze a lot more out of it if you're willing to take the risk and deal with all the trial and error.