I actually agree with you on the last part, but thats exactly why I mention it, people tend to associate the term colonization with modern instances of settler colonialism or modern colonialism, generally associated with phisical elimination of the native population in the first case and massive human rights violation in the second case. So calling the arabization of the middle east colonization is a little dishonest when we dont do the same with the romans or other premodern empires, or should we talk about latin colonization of iberia and france? To a lot of people this would suggest phisical removal. Or we us the more neutral term of conquest for everyone or we start accuse medieval people of colonialism?People keep repeating this tripe like it's a real thing and yet there's never any objective reasons to distinguish the two. "Traditional conquest and assimilation" involves everything you can think of about colonization a-la America. Disruption and suppression of local culture, genocides, settler and slave influx, economic reorientation towards new centres, an imposition of rigid new hierarchies with the conquerors strictly at the top. Literally every bad thing applies to both situations.
The only additional "meanings" are dishonest special pleadings of the "it's not colonization if we/people we like do it" kind.