Yeah conscript army has been a hot topic for about last 10 years in here too.
Though most people are still in favor of it, as we still have the optional "civil service" thingy, where you don't go to armed forces, but you serve your duties in different public community sectors, like healthcare, education etc...
That's mandatory 13 months though, so most still choose armed forces, because it's 12 months maximum (if you don't start a career

) and many get with 6 months, and in my opinion it's much more of an experience, because it's something very different than the normal life so that's why I chose it. But everyone chooses as they like.
Also Finland is quite sparsely populated country, Southern Finland excluded, so professional military might not work quite well, including the fact that Finland's population is just a bit over 5 million.
And of course the strongest influence is probably the history/heritage thing. Everyone has some relatives who fought in "Talvisota" (Winter war) and "Jatkosota" (Continuation War), (both of my grand fathers did) so many have maybe a feel of debt to the older generation who fought back then to keep our country independent.
Interesting fact, which many don't know, btw. is that UK actually declared war against Finland for some time, in the 40's in time of the Continuation War, because of the German relations of the Finnish government at the time.

(Germans provided material support etc. though the Winter war and Continuation war were quite separate from the WWII or other situations and relations around the world back then) Though it didn't lead to any battles or anything else, but the formal declaration.

Volvo R-Sport - Equipment for the car enthusiast.
“Buy land, they're not making it anymore” - Mark Twain
"There are only three sports: bullfighting, motor racing, and mountaineering; all the rest are merely games." -Ernest Hemingway