I found that the end result is the same if you code the "normal" way like this:
<p>
This is a paragraph text section.
</p>
<p>
This is a paragraph text section.
</p>
<p>
This is a paragraph text section.
</p>
<p>
This is a paragraph text section.
</p>
compared to coding like this, in which only every other paragraph text is coded with p:
This is a paragraph text section.
<p>
This is a paragraph text section.
</p>
This is a paragraph text section.
<p>
This is a paragraph text section.
</p>
This would save space, but are there any compelling reasons to not do it this way?