>According to its 2006-adopted platform, the National Coalition Party's policy is based on "freedom, responsibility and democracy, equality of opportunity, education, supportiveness, tolerance and caring".[9] The party is described by literature as a liberal[2] and conservative[3] as well as a liberal-conservative[4] party in the centre-right[8] with catch-all party characteristics.[29] The non-profit Democratic Society described it as "the heir to both liberal and conservative strains of right-of-centre thought" that is becoming increasingly liberal compared to its official stance of conservatism.[6]

>Specifically, it contains elements of cultural and economic liberalism and social reformism.[30] For example, it supports multiculturalism, work-based immigration, gay rights and same sex marriage.[6][31][32][33] Although formerly considered to have been critical of the Nordic welfare model and campaigning for strict doctrines of economic liberalism, in the 1970s the party shifted to supporting more social liberalism, such as increased social security and a welfare state, justified by increased individual liberty.[34]

They've really pivoted on that issue in the past few decades.

"Kokoomus ... is heavily opposed to the system"

There is no "system". There is an endless number of possible implementations of UBI on a spectrum that ranges from communist to libertarian.

One of the main UBI stalwarts in Finland is the pinnacle capitalist ideolog and banker Björn Whalroos, who wants UBI to replace ALL other welfare-state programs, including universal health care.

On the other end of the spectrum are proposals for UBI with a purpose to solve issues caused by globalization, patch-work employment, etc.

Kokoomus has strong proponents of UBI and if I recall correctly, the party approved a resolution for studying UBI 13 years ago in their 2007 national convention.