BUG: Fixed renaming of falsey names in build_table_schema
Closes https://github.com/pandas-dev/pandas/issues/16203
# [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=h1) Report
> Merging [#16205](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=desc) into [master](https://codecov.io/gh/pandas-dev/pandas/commit/39cc1d0685481c77115f061d856cc60c1e59c8c2?src=pr&el=desc) will **increase** coverage by `0.02%`.
> The diff coverage is `100%`.

[![Impacted file tree graph](https://codecov.io/gh/pandas-dev/pandas/pull/16205/graphs/tree.svg?src=pr&token=eZ4WkYLtcO&width=650&height=150)](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=tree)

```diff
@@            Coverage Diff             @@
##           master   #16205      +/-   ##
==========================================
+ Coverage   90.86%   90.89%   +0.02%     
==========================================
  Files         162      162              
  Lines       50867    50870       +3     
==========================================
+ Hits        46222    46237      +15     
+ Misses       4645     4633      -12
```

| Flag | Coverage Δ | |
|---|---|---|
| #multiple | `88.67% <100%> (+0.02%)` | :arrow_up: |
| #single | `40.31% <0%> (-0.01%)` | :arrow_down: |

| [Impacted Files](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=tree) | Coverage Δ | |
|---|---|---|
| [pandas/io/json/table\_schema.py](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=tree#diff-cGFuZGFzL2lvL2pzb24vdGFibGVfc2NoZW1hLnB5) | `95.77% <100%> (+0.18%)` | :arrow_up: |
| [pandas/plotting/\_converter.py](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=tree#diff-cGFuZGFzL3Bsb3R0aW5nL19jb252ZXJ0ZXIucHk=) | `65.35% <0%> (+1.81%)` | :arrow_up: |

------

[Continue to review full report at Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=continue).
> **Legend** - [Click here to learn more](https://docs.codecov.io/docs/codecov-delta)
> `Δ = absolute <relative> (impact)`, `ø = not affected`, `? = missing data`
> Powered by [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=footer). Last update [39cc1d0...983f58e](https://codecov.io/gh/pandas-dev/pandas/pull/16205?src=pr&el=lastupdated). Read the [comment docs](https://docs.codecov.io/docs/pull-request-comments).
