Battery Brand & Model Recommendation

You haven't provided enough data for an intelligent response.

You need to tell us how big of a battery bank you have, or are planning to have. How amphours total do you need ?

Oso

As far as the L-16 batteries, Trojan actually makes 3 different models of them and they make 10 other 6 volt, deep cycle, lead acid batteries. So with 13 different selections, Trojan obviously does not think that one battery is the best for all applications.  I suggest that you give them a call at 800-423-6569 and ask their opinion.

Trojan is a good dependable name in batteries and I recommend them for certain uses. But with other uses, I recommend Surrette Batteries, IBE Batteries, and GBC Batteries, just to name a few.

Assuming you have a solar system you should consider that your discharge cycle might take several days (no sunshine) and re-charge another couple of days. A starter battery for the car has many thin plates made for a few seconds very high Amperes but not at all usable for solar applications. A deep-cycle golfcart-battery (like T-105) is made and optimized for a high Ampere  discharge during a few hours and a fast recharge of a few hours - also not really the typical solar application. Their life span is around 200 cycles of 80% discharge. The L16 types are longer lasting, I don't find actual number here I remember it as around 250 cycles 80%. But L16 is also optimized for a strong discharge of a few hours. AH rating is mentioned for 5h and 20h but not for the more solar relevant 100h. It's fine for a smaller solar application but not really good for bigger systems. To find a fitting battery the crucial factors are:
(1) size of the battery bank: when you need 1200 or 1300AH you better take big single 2V cells for the battery bank instead combining 6 paralell strings of golfcart or 4 parallel strings of L16's as too many interconnects are needed.
(2) life span: if you use your system for the next 20 years better to buy a long lasting battery now instead every 3-5 years a new golfcart battery.
Which brand to choose ??
for a small system it's an almost philosophical question if a branded product like Trojan T-105 or a 'no name' product for 70% of the price for same capacity is choosen. You can compare price for same capacity per life-span (80% cycles) example: Trojan L16P (390AH) 250 cycles 1 year warranty cost 291$ compared to Surette S530 (400AH) with 800 cycles 7 years warranty for 214$. Means you get a solar specific S530 with 320% lifespan for 73% of the cost.
For bigger systems you can compare Surette (5000s) with IBE and other 2V single cell systems all are usually good for 2000 cycles 80% or 5000-6000 cycles 20% means 20 years life-span.
Other factors are freight cost, availability user service (maybe a local dealer delivery free house, fill the acid in, install interconnects etc....).