Are you sure you aren’t just remembering fondly movies you saw when you were younger? Both those scenes are huge tropes/clichés.
This reminds me of the Seinfeld effect.
Seinfeld was arguably brilliant, but even if you disagree with its brilliance, enough people thought it was brilliant that practically every bit in its entire run has been ripped off so many times that they've all become boring clichés.
So pervasive has the ripoff been, that watching Nickelodeon episodes of Hannah Montana and Sweet Life of Zack and Cody have ripped off (and watered down) Seinfeld plots to the extent that trying to watch Seinfeld now is burdensome. Despite the bits in Seinfeld having been mostly original and novel at the time they were made, they have become tropey enough that it feels unoriginal through the slow attrition of time.
People trying to get into the show at this point would likely see it as tropey, and those who still adore it as doing so more through fond remembrance than appreciation of its originality.
People also forget that fantasy tropes were "evil and satanic" up through about the 1980s.
Its only over time that you get the "I know this situation", "I've been here before" possibly reaching the point of not wanting it again because you're oversaturated with said trope/cliche and now recognise them as such.
But the first ones stick with you and you remember them differently to the others.
Once you go past a certain level of tropey-ness (tropiness?) you're unavoidably telegraphing a message to genre fans because everyone else rejects your work as derivative.
But giving it a name -- fan service -- is kind of a new version where all parties are aware of it and actively engaged with it.
And it gives rise to a new way for directors to have all the fun of breaking the fourth wall without breaking the fourth wall -- to have the characters also aware of the tropes of the circumstances in which they find themselves.
There's so much of this in TV in particular and a lot of it is because of the influence of Joss Whedon, but Rocke S. O'Bannon did some of this in Farscape (and then much more explicitly as I understand it in Cult, which I haven't seen yet).
You could argue that a certain strand of films of the late 80s and early 90s really kicked it off, not least the original, quite underrated Buffy The Vampire Slayer, which is all about trope awareness.
Tropes are nothing more than patterns we can observe in multiple stories. Clichés are tropes used extremely frequently. There's nothing inherently wrong about either of those things, it's only the way they're being used, the execution, that can be good or bad.
The James Bond one manages to add a touch of comedy, gives more information to the viewer about the characters who the characters are and how well they know each other, and makes the viewer remain attentive in what would otherwise be a fairly boring exposition scene. It has become used over and over again in various precisely because of how effective it is.
[1] https://tvtropes.org/pmwiki/pmwiki.php/Administrivia/TropesA...