1. What is the diameter of the housing ("can")? Unscrew the bulb, remove the baffle trim, and measure the inside diameter of the housing.
2. What is the brand and model of the proposed LED light?

A more appropriate lumenaire would be a retrofit conversion, so you don't have to remove the existing housing and mess with your textured ceiling. You simply remove the trim/baffle and 'bulb,' and screw and snap in the retrofit. Example:

However, another option is just to buy LED 'bulbs' and replace the incandescent 'bulbs' you have, and you can experiment with color temperature or anything else you'd like. You can also paint the trim/baffle.

As far as longevity, there are many factors, mostly having to do with heat the LED driver is exposed to. There are better/worse for retrofits, full remodel lumenaires, and 'bulbs,' which is harder to quantify and compare in a type or brand.

Here is the brand of the recessed LED light. Also, don’t worry about construction or having to do “more work” - we already hired a contractor who is doing all of the labor like demo, electric, paint, etc. We are basically building from scratch.

I am simply asking if you had the choice to have “can” lights or completely recessed/flat LED lights that don’t require a “can,” then which would you choose and why?

The question is why, just get better light bulbs. and wash your trims. honestly, those built-in LED fail, then the replacements never match identically. Color changing sounds strange why would you need that?

It was recommended by the contractor. We dont want to change colors, we just want to choose the same bright 4k lights as our cabinet lights all throughout the living room (open layout plan).

@3onthetree thank you! i think we will do the latter— renove existing housings, install new lumenaires, and repair the ceilings for the entire house

"i think we will do the latter— remove existing housings, install new lumenaires, and repair the ceilings for the entire house"

I don't get it. Why would you want to do all that work including ripping out the housings and damaging the ceilings when you can just remove the bulbs and trim, and install remodel LEDs such as the Commercial Electric NS01cA09FR2-259 or NS01cA08FR1-259 both of which are shallow, can have their color temperature set to 4000K*, and cost only a few dollars each?

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*Are you sure you want to illuminate the entire room with 4000K lights?

@wdccruise because the whole ceiling is being done due to an addition to the home

@wdccruise however, i guess your point works for the portion of the house’s ceiling that is not being redone.. would that look weird though? shouldnt all the ceiling lights match throughout the whole house? Which is a more modern and luxury option? either way, we will have to replace the LED by an electrician, correct ?

Or better yet, replace the existing trim and bulbs with some Juno Lighting trims (example: Juno Recessed Lighting 27HZ-WH) and compatible LED bulbs.

"Which is a more modern and luxury option?"

IMO, separate trims with LED bulbs are the best option. I tried a bunch of retrofit integrated lights like the one pictured above by @3onthetree and didn't like any of them.

"either way, we will have to replace the LED by an electrician, correct ?"

No, you can install many retrofit trims and bulbs (or integrated reftrofit lights) in existing housings yourself. If you're not sure you can do it, pick one existing light, remove the bulb and trim, pick up a cheap retrofit LED light at Home Depot, and try installing it.

For the most part, people are not looking at the ceiling, two seconds that they likely will not notice the slight trim difference. lastly, there is a wingnut inside of your current housing which would allow you to move the bulb up or down to get it to look similar.

I 100% agree that new trim and a replaceable bulb, are far better than trying to replace the retrofit. Because as others pointed out it's changing all the time. so one retrofit now may not match what is out later, whereas you can buy extra bulbs now and have them for down the road.

Side note, are those sconces beside your tv?