I and many others have exactly same arrangements and IF you are good at remembering change-overs etc. - then despite various claims to contrary is still oe of the best set-ups.
I personally do not like dedicated start batterys. I prefer having possibility to choose battery for what job, be able to boost one with other etc.
The switch itself is pretty low tech ad YES the batterys will equalise across it if one is low. But as soon as engine starts - alternator kicks in and over-rides this and charges more to low battery bringing them both up to similar state. You will read various stories that only VSR / Diode control etc. does this but that is not true. A low battery has low resistance to charge and will accept a higher rate than a near full charged battery. The area that VSR's / Diodes come in are that they split the batterys and prevent one discharging to other.
Now onto the trouble with charge systems : Diode splitters require that charging is battery sensed as the diode block drops charge voltage approx. 0.7V = enough to never charge batterys properly if as normally the case alternator is engine charge sensed. Not an easy matter to change as some would tell you. I have a diode splitter fitted to my engine box and is disconnected - I tried to get my alternator to battery sense, but failed. I'm not good enough in alternator design to cheat it as some books illustrate by a diode in the regulator senser.
VSR's don't have the drop of voltage that diodes have and have in recent years become dependable systems. They isolate batterys so that engine starts on one, once charging the VSR operates and charge gores to one most needing it etc.
Both once working are self regulating and require no input from operator. OK fne - but I know of 2 yachts that were near disasters from diode systems that went awry and cooked batterys. One in fact suffered extensive damage to the surrounding structure from the battery literally exploding.
Sorry if I wax on too long, but its a pet subject and I am not a fan of the wallet financed answer to boat charging / systems. Simple logical sensible steps taken to ensure adequate battery size, sensible regime with the switch, and no requirement for boosted alternators or add-ons.
I'm lucky in that my boat is a motor-sailer and so my engine is running more hours during use than a cruiser/ racer etc. But anyway .... I have a Maplin splitter (Kemo Module at about £9) fitted into mains charger circuit. This then supplies both medium large batterys - #1 = General duty Leisure Battery (quoted for Engine start duty also) usually put to domestic service 90 A/hr, #2 = Heavy Duty Diesel battery usually for engine starting 55 A/hr (temp fit as the 90 A/hr after 8 yrs decided to go to Battery Heaven !). Both batterys via standard 1 - both - 2 - off switch and standard alternator on Perkins 4-107 engine.
I find with above system ... I usually start on #2 ... leave charging for 1 - 2 hrs, then switch to both till engine switched off. If #1 is used a lot when tied up / sailing and no charging, then I would usually start on #1 and leave charging instead of #2.
I have a batt check switch, simple 3 position non-locking toggle switch to meter showing voltage of each battery. I also have a Draper Battery / Alternator tester which can indicate if battery or alternator is faulty.
10 yrs of above system on this boat has proven to work, in that time I have only purchased 2 replacement batterys. 1 of those was ex breakers yard and lasted the above 8 years !!