No. Chinese nomenclature was confusing back then. 甲 was different to -I and also different to -A.
甲 was the nuclear strike variant, 乙 was the AShM variant, and Roman numerals were used to denote regular upgrades/variants until English alphabet took over decades later. Some variants were re-designated from Roman to English, others didn’t. You can read more about variants in the two Chinese books linked above.
强-5乙 was developed for the PLANAF specifically to carry torpedoes, hence the nose with a better visibility and houses a surface search radar. Five prototypes were made and at least one was photographed flying with a 5-digit serial, which only became a thing in the 1970s. The plane was first pitched in 1966 and test flown since 1971 but it only received the Type Designation in 1980 due to the slow progress of its Type 317 radar, a copy of the R-14A recovered from a crashed F-105D in Vietnam.
There were plans in 1978 to retrofit 强-5乙 with YJ-8 (鹰击-8) AShM but the heavier missile meant the plane needs to shave weight elsewhere. A minaturized Type 317 radar, known as 317甲, was then developed to reduce weight. Due to the slow progress on the radar, the AShM variant was cancelled in the late 70s and the missile went on to serve with the Type 024III missile boat.
The PLAN restarted the Q-5 AShM variant in the mid-80s after the success of YJ-8 AShM’s trials on missile boats, so they decided to have another go at it. This time it’ll carry the revised YJ-81 AShM and be directed with the JL-7 radar from J-7III. Development only went as far as flying a regular Q-5 with a mockup missile to test its handling characteristics, and the project was shelved for good because JH-7 can carry four YJ-81s, is faster, and has a longer range.