Vendor lockin is where the vendor does things to lock you in, such as "Google made it so my Chromebook can only run Chrome", or "Google made it so my GMail only works in Chrome". Lockin generally is when people other than the vendor do things to lock you in, "Meta made WhatsApp web only work in Chrome", "My bank website only works in Chrome".
"The vendor made a more integrated, better, product and I prefer it" is not lockin of any kind, that's ordinary competition.