Since my employer designs and manufactures TV mounts, I would recommend utilizing the lags included with the mount. The cabinet screws you reference, I would strongly suggest not using those. As stated earlier, it doesn’t take much force for the TV to act as a lever and those cabinet screws would shear with not a lot of effort.
Lags are used because of the depth required into the stud as well as the thickness of the material
cabinet screws are larger and heavier duty for hanging cabinets which also act as a lever. they are not going to shear like a drywall or deck screw. no reason not to use the lag screws that come in the kits, unless, like me, you want to keep them for other projects and have other screws on hand.
btw, HF redesigned their cheaper tv mount. I bought another to hang my daughters tv in her apartment and it is not as heavy duty as the one in my shop a few years older.
what's worse is, the head of the lag screws in the corner holes have so little clearance you can't get a socket on and have to use an open end wrench at an angle to tighten them fully, or else unscrew the end pieces one at a time, then reattach them...truly a dumb design...but for $15 what do you expect...