For one, mufflers under the hood have been standard practice for years on compacts and even large tractors and heavy equipment. Nothing new or bad. They do make a vertical muffler option.
1710 is the same tractor as that TC 30. Looks like you have a transition model. New holland superceeded part numbers sometimes 4 or 5 times a year...so that isn't to big of an issue. Shibaura made these and New Holland rebranded them with new sheet metal mostly, just like John deere did with Yanmar for so many years.
You've got a problem with over heating. That's nothing new either with these size tractors once they get a little scale in the radiators. If the front gets stopped up a little and you are using 5 or 6 foot equipment on a 4 foot size tractor, the tractors will get warm in 100 degree heat we're having in the south. I'd take it to a radiator shop and have them flush it out. You've only got 24 HP if it is a Hydro on the PTO. If you are going with a 5 ft mower which this looks like you are overloading the engine as it is but with your speed.....wow. You need 29-30 pto hp to competently handle 5 foot equipment.
And watching whoever is driving that tractor, it's obvious they shouldn't be on one. You shouldn't ever go that fast using a bushog. Low ground speed, high RPM's make for good rotary cutting practice. With grass that high running like that, a larger tractor would get warm. SLOW down. What seems to be the problem from the evidence presented is poorly trained or inexperienced operators.
Tractors have to run Higher rpm these days to meet emissions and to pass standards. These tractors don't really turn too high. Kubota, JD, and others in this class turn similar rpms.