Some of Hofstede's dimensions are still relevant others are not and you will have to decide whether if one or two of them are dated then does that destroy the utility of the whole model.The second part of your question however is contestable. Globalization is the idelogogy of multinational corporations and as such was always unsustainable and unlikely to exist. Hofstede's model does need to be contrasted with the current configuration of global politics,and interactions and depedencies rather than with a media-driven and corporate promoted myth.
My two cents's worth is that most frameworks are convenient short cuts to help us reduce complex phenomena into short, accessible bite size chunks. In this sense, the question to ask is, is the Hofstede Model "mutually exclusive and collectively exhaustive. My sense is that it probably is.
If the question is, in its current form and without any modification, could it be used every where, for any purpose and under all circumstances/conditions? My sense is that it has enough boxes and tables in broad terms, but will require some modifications and fillers.
I am not sure what you mean by "cultural globalization" but I suspect that you are referring to cultural imperialism. The latter is the practice when an imperial or hegemonic power both deliberately and within the process of dominance/influence imposes/spreads its norms, values and cultural practices. That this practice has increased by the ease of communication and the domination of the USA Big Data corporations is not sufficient of a discontinuity for it to be given an apparently more benign name nor does it reduce the societal dysfunctions which result from it. Interestingly the greatest instance of cultural imperialism occures within the Anglo-sphere of which you are part as you are writing and receiving in English.