There are a number of factors. Coach batteries are typically deep cycle, designed for longer draws at lower amperage, while vehicle starting batteries are designed for short bursts at higher amperage. Using the wrong batter y risks damage. If the proximity allows the coach battery to reach the starting battery with one set of jumpers it may be ok, but I would recommend totally disconnecting the coach battery. The two systems are isolated from each other and jumping them together with the coach battery connected could damage battery monitor, charging or isolation devices.
The Mercedes Sprinter has a button on the dash to give the chassis battery a boost from the coach battery, if needed.
It is not a Mercedes thing, though. Your upfitter installed it. Usually, the wires they use aren't big enough to actually let you start the car that way if the chassis battery is completely dead, but for a "boost" or as a way to charge the chassis battery it is fine and very handy.
Trik-L-Start charges the chassis battery at 5 amps max. Xantrex Echostart charges the chassis battery at 15 amps max.
Trik-L-Start is the easier install. Echo start is not environmentally sealed so I put it aft of the firewall. I have both on different vehicles and they both work very well.
When I had a dead chassis battery with the Echo Start I let it charge the chassis battery at 15 amps for 20 minutes and was able to start the engine.
The Trik-L-Start folks make a 15 amp version as well, called Amp-L-Start:
AMP-L-START Starting Battery Charger/Maintainer - Overview Page
Any of these devices combined with even a modest solar install will keep your van ready to go.
We don't particularly worry about it, as we have never had close to an issue. We use a marine starting battery of about 85ah for a starter and have a manual separator so we can just push the button and connect 440ah of AGM coach batteries. If we ever though the starting battery was going low, we would just connect the separator and let the AGMs and solar charge the starter battery for a while, but I doubt we ever will need to do that. Our dual alternators are parallel, and not PCM controlled, so much easier to setup than a standalone.
The Trik-L-Start folks make a 15 amp version as well, called Amp-L-Start:
AMP-L-START Starting Battery Charger/Maintainer - Overview Page
Hi On my 2018 CS Adventurous, there is a house AGM battery in the driver side engine bay. Can I connect a jumper cable to start a dead chassis battery?
The house battery (with 400W Lithium) has over 13 volt.