You are right about GL5. I don't think it's and issue here (no syncronizers), considering your transmission. It seems that the ideal choice would be Mt-1. See if you agree
What is GL and MT-1 rating?
The gear oil's GL rating as set forth by API measures how well it will perform under extreme pressure. Gear oil is manufactured with anti-wear additives to stop metal surfaces from welding together. The GL rating ranges from 1 to 6. Gear oils rated 1 to 4 are considered anti-wear products, whereas GL 5 and 6 products are for use under extreme pressure.
GL-4
Denotes lubricants intended for axles with spiral bevel gears operating under moderate to severe conditions of speed and load or axles with hypoid gears operating under moderate speeds and loads. These oils may be used in selected manual transmissions and transaxle applications where API MT-1 lubricants are unsuitable.
GL-5
Denotes lubricants intended for gears, particularly hypoid gears, in axles operating under various combinations of high-speed shock loads and low-speed, high-torque conditions. Lubricants qualified under MIL-L-2105D satisfy the requirements of the API GL-5 specification, although the API designation does not require military approval.
MT-1
Denotes lubricants intended for nonsynchronized manual transmissions used in buses and heavy-duty trucks. Lubricants meeting the requirements of API MT-1 provide protection against the combination of thermal degradation, component wear and oil seal deterioration. API MT-1 does not address the performance requirements of synchronized transmissions and transaxles in passenger car and heavy-duty applications.
GL-5 has the following oil performance tests with stringent requirements:
ASTM L-33:
Gear test using differential assembly measuring the resistance to corrosion in the presence of moisture.
ASTM D-6121:
Gear test using complete axle assembly measuring the resistance to gear distress under low-speed, high-torque conditions.
ASTM L-42:
Gear test using complete axle assembly measuring the resistance to gear distress (scoring) under high-speed, shock-load conditions.
ASTM L-60:
Bench test using spur gears measuring oxidation stability.
ASTM D-892:
Bench test measuring foaming tendencies.
Most manufacturers of manual transmissions and transaxles recommend an 80W or 90W GL-4 lubricant. GL-5 gears oils which are required in hypoid differentials are not used in most synchromesh transmissions because the chemicals used to provide the extreme pressure protection can be corrosive to synchronizers, which are commonly made of brass or bronze. Typically, the use of a GL-5 lubricant in a synchromesh transmission will shorten the synchronizer life by one half. The extreme pressure requirements of spur gears and helical gears found in transmissions are not nearly as great as found in rear-wheel drive differentials. A GL-4 lubricant provides adequate protection for most manual transmissions, unless a unique design consideration requires the extra protection of a GL-5.