It is a peculiarity of orbital mechanics that to speed up you have to slow down. There is no good way to explain this without mathematics, and it is so counterintuitive that Gemini astronauts had problems maneuvering in orbit, so you just have to accept it as something a primate-derived brain is never really going to intuit
I don’t think that is apt, its not really a case of being able to speed up to go slower when want to get to Mercury. When you are ascending, then yes you can go to fast and get to very far out, and when you are very far out from the sun, you can then be very slow, because you went faster and got yourself a very elliptical orbit…
So better to think about orbit heights.  You slow down HERE to reduce your orbit THERE (the other side of the orbit. )  You speed up HERE to increase your orbit height THERE.  Best to do these at aphelion and perihelion…
What gemini crew might have done is forgot that a small thruster burn here can sum to a large distance at the other side of the orbit.  They’ve got it perfect… but half way around the earth… dam, the error is worse…
You don’t have to do it in the minimum fuel burn way…  You can  aim at  Mercury, do a long burn, and descend   (relative to sun gravity well )  at great speed to Mercury… Its a fast way to get there… but it costs a heck of a lot of energy to stop at Mercury  when you get close.
Turns out the lowest energy way to do an orbit transfer   , eg Earth’s orbit to Mercury, is to  get free of earth’s gravity well (can’t avoid that  energy requirement)  ,  do a retrograde burn at  point that you want to be your new aphelion.   ( retrograde means stick your butt into the direction of your orbit, and thrust to slow down. )… then you  change the orbit height over there at the new perihelion. You still have to do a retrograde burn when you get near Mercury , but total fuel used is the minimum…  Then when you are near Mercury, which you have arranged to be your perihelion too…  you do a retrograde burn to again reduce velocity, this will reduce the opposite end of the elliptical orbit… dropping the aphelion to be the same height as Mercury … which means almost circular since thats the same as your perihelion …  then you have matched orbit speed with Mercury … you have wiped out your (Mercury) escape velocity …
Now consider what you have done if you have pointed your nose at Mercury and did a burn … its similar to prograde (in direction of orbit.) burn .  That makes the other side of the ellipse  move further out… it will make your orbits aphelion grow further from the sun, really makes the orbit  much more elliptical… like a comet doing a sol flyby…  hence the point about the fuel required to stop when you get close to Mercury… if you decide not to stop at Mercury  you would have to burn fuel to  enter  circular orbit around sol… (thus matching speed with earth. )  when you get back at earth’s orbit height… no cheap abort to return home ?
BTW, if you were in orbit around Mercury and want to get back to earth with minimum fuel spend, well jump out to free space near Mercury, and you would have made sure you  opposite ( relative to the sun ) of where you want to meet Earth (or earths orbit, if thats a different spot. )  …  do a prograde  burn (point nose in direction of travel…exactly the direction of travel at the time.  ) … this shifts your aphelion out from being at Mercury’s orbit height, to be higher, and you pick up speed and grow aphelion to be up at earth’s orbit height.  Because you are at aphelion on a more elliptical orbit, you can know you are slower than earth… but earths gravity is enough to catch you if you are close enough.  if you got the ellipse to go past earth and go around the back  U bolting around earth…   You can drop into earths gravity well… Quadruple check your  relative to earth  velocity when doing this for real lol.    Because if you did miss earth by too great a distance, you will soon drop back toward  Sol and then be doing these elliptical orbits of  the sun …