Is it called Drive-by Compromise if attacker provided his website for user to access?

Question

If the website is legitimate and the attacker exploited that legitimate website, and the attacker gains access to a victim's system that visits the website, then it is a drive-by compromise.

However, if the attacker built the website, and the attacker gains access to a victim's system that visits the website, will it be called a drive-by compromise?

Definition of drive-by compromise

Answer 1

Both are types of Drive-By Compromise. It doesn't matter who owns the site. What matters is that the client is compromised by simply processing the malicious code delivered by the site.