What part do the tires play.. likely none but.
First are the tires properly inflated, But this I do not mean the pressure molded into the side wall, nor the pressure on the sticker inside the RV NOR the pressure the dealer put in.
I mean scale the rig, each corner. so you know the load on the tire, then inflate each tire to the pressure specified for the load it is carrying (or that pressure plus 5 PSI, some folks (myself included) like to add 5 PSI)
Then you have 3 chassis issues that may need adjustment.
Sway "SIde to side rocking of the RV like fans swaying to the music at a rock concert while holding up their BICs) Sway bars control this, MANY RVs the factory sway bar is a bit anemic.
Wag: LEAF SPRING suspension allows the body to move side to side over the axles only a little bit,, but.. If the rear moves one way while the front moves the other and then they swap (Which they will) you think you are going down the road like this ~~~~~~~~~~~~~~~ so you try to compensat and as a result really do.. Had you not compensated you would have been going ============
TRAC bars stop this 100% completely control it (2 of them) just one may be enough I mean it makes a BIG difference
Steering stabilizers like the Blue-Ox True Center of the Safe-t-steer does a great job of assisting you in keeping to the straight and narrow. (And trust me when you are driving a vehicle that is 8'6" wide "NARROW" applies.. Only one other vehicle is allowed on the freeway (Save during construction) that size.. A flat bed tow truck (Ag Machinery which may be on Rual roads can be much wider but may NOT go down the freeway without special permits)
My Rig had decent Sway control but let me tell you a trac bar and stablizer made a BIG and I mean BIG difference.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times