How to convert JSON to data frame in R without sorting keys

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Input:

json_string <- '{
    "Chamber": ["Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber", "Target Chamber"],
    "P1": [0.5193, 0.5409, 0.5616, 0.5589, 0.5518, 0.5527, 0.5497, 0.5535, 0.5539, 0.5549, 0.5508, 0.5538, 0.5445, 0.5512, 0.554, 0.5586, 0.5569, 0.5539, 0.5583, 0.5606, 0.5549, 0.5617, 0.5433, 0.5435, 0.5441, 0.5564, 0.5436, 0.5458, 0.5546, 0.5373, 0.533, 0.5373, 0.5399, 0.5547, 0.5601, 0.5416, 0.5497, 0.5393, 0.5595],
    "P9": [0.5155, 0.5334, 0.5599, 0.5512, 0.5456, 0.5454, 0.5466, 0.5495, 0.5471, 0.5546, 0.5437, 0.5491, 0.5424, 0.5465, 0.5495, 0.5594, 0.554, 0.5528, 0.555, 0.5518, 0.5573, 0.5596, 0.5391, 0.5553, 0.5441, 0.5597, 0.559, 0.5612, 0.5485, 0.5507, 0.5442, 0.5373, 0.545, 0.5646, 0.569, 0.5531, 0.5602, 0.5567, 0.5737],
    "P10": [0.5155, 0.5334, 0.5599, 0.5512, 0.5456, 0.5454, 0.5466, 0.5495, 0.5471, 0.5546, 0.5437, 0.5491, 0.5424, 0.5465, 0.5495, 0.5594, 0.554, 0.5528, 0.555, 0.5518, 0.5573, 0.5596, 0.5391, 0.5553, 0.5441, 0.5597, 0.559, 0.5612, 0.5485, 0.5507, 0.5442, 0.5373, 0.545, 0.5646, 0.569, 0.5531, 0.5602, 0.5567, 0.5737],
    "P11": [0.5155, 0.5334, 0.5599, 0.5512, 0.5456, 0.5454, 0.5466, 0.5495, 0.5471, 0.5546, 0.5437, 0.5491, 0.5424, 0.5465, 0.5495, 0.5594, 0.554, 0.5528, 0.555, 0.5518, 0.5573, 0.5596, 0.5391, 0.5553, 0.5441, 0.5597, 0.559, 0.5612, 0.5485, 0.5507, 0.5442, 0.5373, 0.545, 0.5646, 0.569, 0.5531, 0.5602, 0.5567, 0.5737],
    "P12": [0.5149, 0.5375, 0.5556, 0.5517, 0.5456, 0.5451, 0.5428, 0.5479, 0.5495, 0.5534, 0.5434, 0.5486, 0.5415, 0.5462, 0.5478, 0.5597, 0.5494, 0.549, 0.5464, 0.5513, 0.5561, 0.5664, 0.5432, 0.5557, 0.5482, 0.5582, 0.5537, 0.5658, 0.559, 0.546, 0.5372, 0.5378, 0.5484, 0.5612, 0.5656, 0.5495, 0.5649, 0.5638, 0.579]
}'
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df <- data.frame(jsonlite::fromJSON(json_string))
head(df)
#>          Chamber     P1     P9    P10    P11    P12
#> 1 Target Chamber 0.5193 0.5155 0.5155 0.5155 0.5149
#> 2 Target Chamber 0.5409 0.5334 0.5334 0.5334 0.5375
#> 3 Target Chamber 0.5616 0.5599 0.5599 0.5599 0.5556
#> 4 Target Chamber 0.5589 0.5512 0.5512 0.5512 0.5517
#> 5 Target Chamber 0.5518 0.5456 0.5456 0.5456 0.5456
#> 6 Target Chamber 0.5527 0.5454 0.5454 0.5454 0.5451