Importing Multiple HTML Files, Where Some Tables are Empty

I import a few hundred HTML files that are formatted the same.  They have the same number of tables (from a human perspective), but some are blank.  Example:

File 1:

Table 1
Header     Header
Data       Data
Data       Data
Data       Data

Table 2
Header
Data

Table 3
Header     Header
Data       Data
Data       Data

File 2:

Table 1
Header     Header
Data       Data
Data       Data

Table 2
Header
<empty cell>

Table 3
Header     Header
Data       Data

The problem comes when I try to import these multiple files.  File 2 will error out on importing Table 3 because it's skipping Table 2 (I think).

Is there a way to get Power Query / BI to recognize that Table 2 is a table, but just blank?