Does word addressable memory have more bytes than byte addressable memory?

Question

Well, my question - if word addressable memory has more bytes than byte addressable memory - is derived from the fact that in word addressable memory each address addresses a word and in byte addressable memory each address addresses a byte. In the case of word addressable memory - If the word size is 4 bytes 32 bit architecture, for example, do i have 4*2^32 bytes in my memory? And in the case of byte addressable memory -will i have 2^32 bytes in my memory?

How is it possible that the same ram, i.e given the ram size is 4 GB, would contain different number of bytes depending on byte/ word addressable memory?

1GB RAM has 1*1024*1024*1024 bytes in it. Say our architecture is 32 bit. So in the case of byte addressable memory there will be 4*1024*1024*1024 virtual addresses per program but in reality there are 1*1024*1024*1024 physical addresses, each points to a byte. In the case of word addressable memory there will be 4*1024*1024*1024 virtual addresses per program - each address points to a word? So in this case there will be theoretically 4*4*1024*1024*1024 bytes available for each program ? There will be 1*1024*1024*1024 physical addresses, each address points to a word. So there are actually 4*1*1024*1024*1024 bytes in the memory in this case?

As you can see I am super confused.