I'll answer your question by asking going back in history. What practical benefit did it offer?
Traditionally stalking in the UK was either Highland stalking "on the hill" or, pretty much, shooting "park deer". Woodland stalking as we know it today didn't exist. Muntjac hadn't yet escapee from Woburn Abbey and roe deer were considered as vermin. That a person would use leisure time to shoot either for recreation would have been though distinctly odd. That anyone would pay money to shoot either was unheard of.
So therefore the .30-30 in the UK had no role. It wasn't ideal for highland stalking as it didn't do anything that 6.5x53R, 6.5x54 or .303 didn't do better. And for "park deer" it didn't do anything that the .300 Sherwood or BSA's equivalent the .300 Extra Long did do more efficiently or less expensively to purchase. And nobody used them for pleasure or competition target shooting. So what lever action rifles that were in the UK were usually in the "self defence" calibre of .44-40.
So yes, lever action rifles were imported here before WWI and WWII but not the .30-30 as it offered nothing to British customers. Whereas the .44-40 did but for self defence not stalking. remember a 30-30 holds only six rounds the .44-40 held ten rounds. An Enfield rifle holds ten rounds and for reloading any clip loading Mauser or Mannlicher was quicker to load and more practical to carry extra ammunition in chargers.
Indeed one branch of the British military issued them in .44-40 Winchester rifles in WWI and I personally knew someone who carried one in .44-40 WWII whilst fighting in North Africa. So the .30-30 not popular (and I've yet even mentioned that it fails the 1960s 2,450 fps velocity requirement in Scotland) is that as it had no benefit to British deer "hunters" either those shooting them for leisure or for gamekeepers controlling deer.
So it never historically had in the UK the following it did in the USA and after 1960 why would you buy a rifle to shoot deer in Britain that was illegal to use immediately it went north of the River Tweed? So simply put it it was a rifle without a purpose here in UK. So it has never had any real tradition of widespread use in shooting deer. It's a good rifle for the purposes you've said. But until recently that sort of deer hunting didn't really exist in the UK.