I've had Howas and I've had Remys. I like the Howa, and mine's in .308. Bear in mind there will be differences based on action length. A mini action has a shorter, stiffer spring and will likely have a harder bolt lift. The Howa short actions are very smooth, and if you adjust the trigger all the way down, is VERY easy to cycle.
Here are the pros of the Howa:
1. Better bolt design. The Remy is perfectly adequate, but the Howa is a one piece design, is very sturdy, and the bolt handle is one piece integral to the bolt body.
2. Better extractor. The Howa has an oversized M-16 style extractor that does a really good job of extracting rounds.
3. Good barrels. Even though it's a CMV CHF barrel, I've found they're extremely consistent for a production gun. I doubt you will ever shoot out one of their .308 barrels.
4. Integral recoil lug. No possibility of barrel misalignment due to an oblong or imperfectly ground recoil lug, and if you send it to a smith you don't need to replace it with a PTG or Badger lug.
5. Excellent fit and finish. The floorplate and blind mag in my rifle are so good that I haven't replaced it with a DBM system. It works extremely well and allows me to seat long bullets. Feeding has never been an issue.
6. Precision guarantee. If it doesn't shoot, it's Howa's problem. Ship it back and let them deal with it. You get no such assurances from Remy.
7. Factory trigger is... actually really damn good. It's a 2 stage, so some don't like it for that reason, but there is zero give in it. It's a very sold unit. You take up the first stage, and it break very cleanly. You can adjust it down, but doing so voids the warranty. However, mine it sitting at around a pound and a half.
8. Smooooooth. Some here are saying the Howas are gritty and rough. That does not align with my experiences. That said, my usual routine with a new rifle regardless of price point or manufacturer is to strip it, clean it, lube it, and cycle it a few hundred times to wear the bolt and raceways in. It also helps to develop a wear pattern on cocking surfaces. A few hundred cycles later, I end up with a very smooth gun. Also understand that CMV on CMV is going to typically be smoother than stainless on stainless.
9. You can buy the action and stock separately.
10. Good QC. This is something that only a smith would notice, but I took apart my gun as soon as I got it to check for square and concentricity. The front face was less than .001" out. The thread concentricity was also excellent, being around .0015" out. The barrel was straight and lug contact was over 80%. I couldn't find much to complain about.
Cons:
1. Aftermarket support. It's getting better, and yes the 2 piece bases from Remys work on a Howa. The one piece bases do not. Stocks and chassis systems aren't hard to find, though.
2. Metric thread pitch. The barrel thread is 26x1.5 metric. It's not a common thread, and some smaller smiths may not have the gearing to cut metric thread on their lathes.
3. Dinky factory DBM system. It's shitty plastic, get rid of it if your rifles comes with one and use a good AICS system.
4. Factory stocks are junk. The Hogue is okayish, but unless you're buying the HS Precision or KRG, they just aren't all that great.