One must doubt this news in first place.
India is always going to influence Geo-Politics of this region and BD has accepted this reality for good, like India who has been very proactive in keeping good relationship with China, unlike Pakistan who is paying the price for messing with heavy weight neighbour.
Having said that, Muslim nation are vulnerable to lying down flat and miscalculating their security calculus when engaging with powerful countries. The situation becomes more complicated when their religious Itch against soft Hindu India with their delusion that Hindus are the pushovers; they feel more invited to solve their issues by confrontations, bullying and acting as proxies of states they assume are enemies of India.
There is pro Pakistan lobby with Bangladeshi flags who have been even found apologetic for BD independence, neglecting and trying to project this new development only against India but not China. Their double talk will always prevail but be limited to mere propaganda because China isn't going to complaint even if she would like to as they aren't doing the same against American presence in Afghanistan and Pakistan.
If those BD posters think BD be able to act independent, would leverage USA's presence in BoB against India then I would call their day dreaming as pure underestimation of Indian diplomatic wisdom and misread of Indo-US partnership of many conveniences.