That combination of tyres would possibly slow down the steering a bit. Modern tyres are fantastic compared to what I started on ( a new rd250 with horrible Japanese brick rubber, I rode for 2 months with no crashes, the first rain the bike stepped out, they were lethal lol.)
With any old bike it's a good idea to go through the bike , the wheel bearings I find are always notchy, I take the wheel off and if there is any resistance they are scrap. All the mille's wheel bearing although skf were very stiff. I am sure bearings used to be better than the **** they sell now ?
Same with oil , these bikes run hot and with just over a litre of coolant, the oil does most of the cooling, this stresses the oil, I like to use good oils, and change regularly, every few thousand miles on colour and smell !
Also I like to see if the wiring is good, I don't like breaking down , ( I had a ducati stolen in the late 70's coming back from Snetterton because of **** italian wiring)
Good luck on not finding anything to bad, the wiring for example is a lot better than previous italian efforts, but the main cables to the starter were not good enough when new. You can get good upgrades now, expensive but a thousand times better than oem !
ES-23 Aprilia RSV Mille 98-03 & Tuono 02-05 Hi Cap Electric Upgrade Cable Kit | eBay
That and getting a mosfet regulator , the oem is a shunt rgulator rectifier and stresses the magneto. A 150 amp starter solenoid is a good buy after upgrading the starter and earth wires.
Here is a good a list of upgrades/things to look out for....
Reference Thread - Common Issues Info