wpautop should at least ignore multiline html tags, and possibly ignore any area enclosed within html.
<table
style="width: 120px; height: 92px; text-align: left; margin-left: auto; margin-right: auto;"
border="1" cellpadding="7" cellspacing="2">
<tbody>
<tr>
<td><small><small style="font-family: Arial;">Once
I saw it here, I instantly knew what I wanted. I love my new woven wood
shades.</small></small><br>
<small><small>- Ginny Good</small></small></td>
</tr>
</tbody>
</table>
gets formatted as:
<table<br />
style="width: 120px; height: 92px; text-align: left; margin-left: auto; margin-right: auto;"<br />
border="1" cellpadding="7" cellspacing="2"><br />
<tbody>
<tr>
<td><small><small style="font-family: Arial;">Once<br />
I saw it here, I instantly knew what I wanted. I love my new woven wood<br />
shades.</small></small><br /><br />
<small><small>- Ginny Good</small></small></td>
</tr>
</tbody>
</table>