I have a 34-2, and cannot imagine how to get a start battery (unless it's a very, very small one) into that access area for the packing gland.
I actually just got a start battery added to the boat (along with a new Victron charger -- thanks to recommendations from folks here : ) , and it is under the galley sink, over to port on the way to being under the refrigerator compartment. It's not a full-size battery like the house bank ones, but it is decent sized. The location seems fine to me.
At least my 34-2 has a refrigerator compressor under the settee in front of the galley sink, but it would have to be a small start battery to fit there. It was suggested to me I pull out the compressor -- it is true I never use it -- but, well, I figure maybe someday I'll want it.
My house batteries are 'Lifeline' brand AGMs; AGM's just seem a lot easier to deal with. I agree with
@Frank Langer -- some research goes a long way; not all batteries are created equal, and diesel 'deep cycle' ones are not always actually that good, despite the name. My batteries are very heavy because... they have a lot more lead than many others (heavy as lead, literally.) And so should last longer... so far so good anyway. Interestingly, the other main users of these batteries are the RV folks. There seems to be a decent bit of overlap in some things between the RV and boat communities in terms of equipment /maintenance needs.
PS: AGMs have different charging requirements -- worth setting up your charger parameters right for them when you get them.