There is a phenomenon called Tramlining where the vehicle follows grooves/ruts in the pavement.
https://www.tirerack.com/tires/tiret....jsp?techid=47
Lower than stock profile tires and wider than stock tires exhibit this behavior because they adversely affect your steering geometry. A good competent alignment tech can compensate somewhat but it will never handle quite the same as stock envelope tires aligned to stock specs.
If you go to a slightly taller and or wider tire that's a factory optional tire size, like I did, it's a good idea to get an alignment with the new tires installed. The tires will last a lot longer and it'll be a lot more pleasant to drive.
With stock size tires you may simply have a problem with your wheel alignment or worn suspension components.
Here's more than you ever wanted to know about wheel alignments and how they affect handling.
https://www.motor.com/magazine-summa...eel-alignment/
A competent shop will always check your suspension bushings, tie rod ends, ball joints, pitman arm, idler arm, steering box, etc before doing an alignment. Aligning with worn parts is completely useless. If they tell you something is worn ask to see how they determined it so you can learn to evaluate your suspension and keep ahead of things. That way you can keep it safe to drive. Tell them that's why you're asking so they don't think you're being difficult to deal with. Usually a decent shop will accommodate that.
Ask the service writer for the before and after alignment printout from the Behr or Hunter or ... machine. That's pretty easy to do if they know you want it before starting work.