No it's not anything like that. In Bangladesh, hindu, muslims, buddhists everyone loves their country but practicing muslims also have soft corner for Pakistan, Turkey, Palestine. Hindus have soft corner for India.
We Buddhists have soft corner for Myanmar, Sri lanka and Thailand as they are Buddhist majority nations however we like Myanmar the most amongst them at least I personally like Myanmar. This is because Buddhists of Bangladesh and Myanmar are culturally similar. I am a Barua Bengali Buddhist but our Buddhist culture is similar to the Burmese and that's why we have support for Myanmar and not much for Sri lanka or Thailand.
Also we Bangladeshi Buddhists use some Burmese word like in Burmese/Arakanese the Buddhist temples are called Kyang and Zedi and we also use Kyang and Zedi for Buddhist temples.
Each year thousands of Buddhists from Bangladesh visits Myanmar to conduct pilgrimage. I personally want to visit the Mahamuni Pagoda as I heard it is a Buddha statue which was blessed by lord Buddha himself.
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This is a Buddhist pagoda in Chittagong. This is a Arakanese/Burmese styled kyang and my most favourite kyang. I have visited this place for many times.