yup - turf is awesome, except for the injuries caused by the turf. But, not to worry, someone else pays that bill.
Tremendous thread drift - ignore if you want.
People get hurt on natural grass too. I saw Deshaun Watson wreck a knee on natural grass. It happens. That said, natural grass is a wonderful surface if it is seldom used, properly maintained, and "in season". But that's a pretty limited scope unless you're a pro or college team with a separate practice facility and no other users for the field.
Older generations of turf had issues around being rough on athletes. I played intramurals and other games on Grant Field (Georgia Tech) in the '80's. The field was basically a rug (no pad) over a hard packed base. It was worn out, so there was no traction. The concrete like underlayment (earthwork) made it a tough place to play. I also played on Tech's intramural fields of the day. They topped those fields with sand - not river or beach sand (which have round edges and corners). They used "new" sand - stuff busted/ground just before they put it down. It was brutal - every grain of sand had sharp edges and would tear you up.
New generations of turf don't have those same problems. There are sports physiologists and engineers who dial the properties of turf to match what the customer wants. You can make it hard, you can make it soft - the base, the pad, the fill, all go into that. Basically, we're talking about a fast or slow playing field. The quick fast guys want the hard(er) playing surface to take advantage of their skill set. Until they get concussed. The big, strong guys would rather the field be very soft to diminish the speed/quickness advantage of the fast twitch guys. The TV guys want a fast (hard) surface, 'cause a fast surface makes for spectacular plays which are good TV. A field can be engineered to be very soft, very hard, or anywhere in between.
With regard to traction, again, the quick guys want the best traction. Until they over-torque their knee and it blows out. Kinda the same for the slow twitch guys - they want good footing. Until they have a foot planted and someone rolls up on them from the side or behind and they tear something. Less traction? Now guys are slipping and sliding around. The yarn that goes into the product is the biggest driver of traction. The properties are known and understood.
You make your choices and get the results that are engineered into the product. Tall turf, short turf. Soft base (earthwork), hard base. Soft underlayment (thick pad), hard thin pad. Soft filler (walnut shells), hard filler (sand). High traction, low traction. Which ones do you bias your field towards and away from? All fields have inherent compromises. Which ones does do you want?
With natural grass a dry field is like concrete and a wet field is like a bog, but you may not be able to control that on gameday (especially if you're a municipality that can't afford to baby a natural grass field).
From an injury standpoint, do you prefer variability (natural grass) or something that behaves consistently and with the characteristics you selected?
And at the end of the day, there will be injuries on turf or grass. There's no escaping that. But with properly selected turf fields, you can dial the product characteristics to balance the injury risk vs the performance risk.